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Armand Borel

Armand Borel publishes mostly in Mathematical Physics, Geometry and Topology and Algebra and Number Theory, on topics such as Advanced Algebra and Geometry, Advanced Topics in Algebra and Homotopy and Cohomology in Algebraic Topology.

World rank
#32,701
of 1,633,909 ranked researchers
Rank in United States
#15,240
of 358,040
Works
66
Citations
405
Citations per work
6.1

What does Armand Borel research?

Mathematical Physics: 35.0%Geometry and Topology: 20.0%Algebra and Number Theory: 16.3%Theoretical Computer Science: 6.3%other fields: 22.4%35%top field
Mathematical Physics35.0%Geometry and Topology20.0%Algebra and Number Theory16.3%Theoretical Computer Science6.3%other fields22.4%

Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.

  1. 1Mathematical Physics35% of their works
  2. 2Geometry and Topology20% of their works
  3. 3Algebra and Number Theory16% of their works
  4. 4Theoretical Computer Science6% of their works
  5. 5Discrete Mathematics and Combinatorics6% of their works
  6. 6Applied Mathematics2% of their works

Research topics

Which keywords describe Armand Borel's research?

The keywords of their largest research topics: Cohomology, Representation Theory, Symplectic Geometry, Automorphic Forms, Langlands Conjectures, Deformations, Hom-Lie Algebras and Deformation Quantization.

Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.

All 19 words, with their numbers
  1. Cohomology242 topics
  2. Representation Theory192 topics
  3. Symplectic Geometry152 topics
  4. Automorphic Forms141 topic
  5. Langlands Conjectures141 topic
  6. Deformations101 topic
  7. Hom-Lie Algebras101 topic
  8. Deformation Quantization91 topic
  9. Poisson Manifolds91 topic
  10. Gromov-Witten Theory61 topic
  11. Moduli Theory61 topic
  12. Finite Groups51 topic
  13. Graphs51 topic
  14. Historical Sources51 topic
  15. Mathematics Education51 topic
  16. Geometry31 topic
  17. Hyperbolic31 topic
  18. Model Predictive Control21 topic
  19. Optimization21 topic

Where does Armand Borel work?

Armand Borel's main affiliation in the publication record is Institute for Advanced Study, United States.

How many publications and citations does Armand Borel have?

Science Explorer counts 66 works and 405 citations for Armand Borel, ranking #32,701 of 1,633,909 researchers worldwide on the composite score.

Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.

Papers, co-authors, who cited this work and researchers on the nearest topics are in the interactive view on the map. Is this your page? Request a correction or removal.